What is -9x^2-36x+16y^2-32y-164=0 ?

The solution to -9x^2-36x+16y^2-32y-164=0 is Hyperbola with (h,k)=(-2,1),a=3,b=4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-9x^2-36x+16y^2-32y-164=0

- 9 x^{2} - 36 x + 16 y^{2} - 32 y - 164 = 0

(h, k) = (- 2, 1), a = 3, b = 4

Solution steps

- 9 x^{2} - 36 x + 16 y^{2} - 32 y - 164 = 0

Rewrite

- 9 x^{2} - 36 x + 16 y^{2} - 32 y - 164 = 0

in the form of a standard hyperbola equation

\frac{( y - 1 ) ^{2}}{3 ^{2}} - \frac{( x - ( - 2 ) ) ^{2}}{4 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 2, 1), a = 3, b = 4

9 X^{2} - Y^{2} + 54 X + 10 Y + 55 = 0

4 x^{2} - 9 y^{2} + 40 x - 72 y - 80 = 0

y^{2} = x^{2} - 9

36 x^{2} - 64 y^{2} - 504 x + 768 y - 1769 = 0

x^{2} - 4 x - y^{2} + 10 y + 5 = 0

What is -9x^2-36x+16y^2-32y-164=0 ?
The solution to -9x^2-36x+16y^2-32y-164=0 is Hyperbola with (h,k)=(-2,1),a=3,b=4